Answer:
15
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
The factors of 45 are: 1, 3, 5, 9, 15, 45
The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Then the greatest common factor is 15.
Formula for the area of a circle:
A = πr² [A = area r = radius]
The radius is (half) the diameter. Since the diameter = 10cm, the radius = 5cm.
You know:
r = 5cm Substitute/plug this into the equation
A = πr²
A = π(5)²
A = 25π -> A = 25(3.14)
A = 78.5cm²
Answer:
a. square root of 5
b. square root of 13
c. 9
d. 13
Step-by-step explanation:
<h2><u>Corect option</u> :</h2>
<h2><u>Answer with steps</u> :</h2>
Quantity of water she needs
Number of servings she needs = 10
Number of cups of water she will need :
Thus, she needs of water.
Therefore, the correct option is
160 cubes required to completely pack the prism without any gap or overlap
<h3>How to determine the number of cubes?</h3>
The dimensions of the rectangular prism are given as:
Length = 1 1/3
Width = 5/6
Height = 2/3
The volume is
Volume = Length * Width * Height
This gives
Volume = 1 1/3 * 5/6 * 2/3
Evaluate the product
Volume = 20/27
The side length of the cube is
L = 1/6
The volume of the cube is
V = (1/6)^3
Evaluate
V = 1/216
The number of cubes required to completely pack the prism without any gap or overlap is
n = (20/27) / (1/216)
Evaluate
n = 160
Hence, 160 cubes required to completely pack the prism without any gap or overlap
Read more about volume at:
brainly.com/question/1972490
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